Finding the Third Proportional to 42,666 and 91,872

Step by Step Solution

1. Step 1: Write the proportion equation
   42,666 : 91,872 = 91,872 : x
2. Step 2: Convert to fraction form
   42,666/91,872 = 91,872/x
3. Step 3: Cross multiply
   42,666x = 91,872 × 91,872
4. Step 4: Simplify right side
   42,666x = 8,440,464,384
5. Step 5: Solve for x
   x = 8,440,464,384/42,666
6. Step 6: Final answer
   x = 197,826.48